Finite-size effects in the rough phase of the 3d Ising model

Using Monte Carlo simulations, finite-size effects of interfacial properties in the rough phase of the Ising on a cubic lattice with \(L\times L\times R\) sites are studied. In particular, magnetization profiles perpendicular to the flat interface of size L\(\times\)R are studied, with \(L\) being c...

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Bibliographic Details
Published in:arXiv.org 2020-09
Main Author: Selke, Walter
Format: Article
Language:English
Subjects:
Capillary waves
Computer simulation
Critical temperature
Cubic lattice
Field theory
Interfacial properties
Ising model
Size effects
Online Access:Get full text
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Summary:Using Monte Carlo simulations, finite-size effects of interfacial properties in the rough phase of the Ising on a cubic lattice with \(L\times L\times R\) sites are studied. In particular, magnetization profiles perpendicular to the flat interface of size L\(\times\)R are studied, with \(L\) being considerably larger than \(R\), in the (pre)critical temperature range. The resulting \(R\)-dependences are compared with predictions of the standard capillary-wave theory, in the Gaussian approximation, and with a field theory based on effective string actions, for \(L\)=\(\infty\).
ISSN:2331-8422
DOI:10.48550/arxiv.2008.13258